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Finding the Fourth Proportional to 9,275.83, 12,801.56 and 5,297.54

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Solution

The fourth proportional to 9,275.83, 12,801.56 and 5,297.54 is: 7,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.83 : 12,801.56 = 5,297.54 : x
  2. Step 2: Convert to fraction form
    9,275.83/12,801.56 = 5,297.54/x
  3. Step 3: Cross multiply
    9,275.83x = 12,801.56 × 5,297.54
  4. Step 4: Simplify right side
    9,275.83x = 67,816,776.16
  5. Step 5: Solve for x
    x = 67,816,776.16/9,275.83
  6. Step 6: Final answer
    x = 7,311.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.